Definitions
Solve it!
very easy
100
sin x cos y + cos x sin y
What is sin(x+y)=?
100
cos 2x or cos^2x-sin^2x or cos^2x-1
What is 1-2sin^2x equal?
100
30°+45°!!!!
express each angle as a compound angle, using a pair of angles from the special triangles. a)75°=?
200
1. cos^2x -sin^2x 2. 2cos^2x -1 3. 1-2sin^2x
What is cos 2x? (Give 3 answers!)
200
=(sin x)(cos π)-(cos x)(sin π) =(sin x)(-1)-(cos x)(0) =-sin x
What is sin (x-π)=?
200
π/2+π/3
express each angle as a compound angle, using a pair of angles from the special triangles. 5π/6=?
300
1. 1/tan x 2. cos x/sin x
What is cot x? (give 2 answer!)
300
=(cos x)(cos π/2)-(sin x)(sin π/2) =(cos x)(0)-(sin x)(1) =-sin x
What is cos(x +π/2)=?
300
(√2+√6)/4
determine the exact value of each trigonometric ratio. sin 75°=?
400
1. sin^2x+cos^2x 2. sec^2x-tan^2x 3. csc^2x-cot^2x
What is 1=?(give 3 answers)
400
=cos(7π/12 -5π/12 =cos π/6 =√3/2
What is cos 7π/12 cos5π/12+sin 7π/12 sin 5π/12
400
=π/3- π/4
What is π/12=?
500
cos2x=cos^2x-sin^2x or else 1/cos x=sec x cos(x+y)=cos x cos y-sin x sin y cos(x-y)=cos x cos y+sin x sin y
What is cos2x=? 1/cos x=? cos(x+y)=? cos(x-y)=?
500
sin a =3/5=y/r sin b=5/13=y/r cos a=x/r=-4/5 x^2+y^2=r^2 x^2+y^2=r^2 cos b=x/r=-12/13 x^2+3^2=5^2 x^2+5^2=13^2 sin(a+b)=(sin a)(cos b) x^2=25-9 x^2=169-25 +(cos a)(sin b) x=±√16 x=±√144 =(3/5)(-12/13)+(-4/5(5/13) x=-4 x=-12 =-56/65
Evaluate sin (a+b), where a and b are obtuse angles; sin a =3/5 and sin b =5/13
500
csc!!!
What is 1/sin=?
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